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Elongated U(1) Instantons on Noncommutative R^4

We found an exact solution of elongated U(1) instanton on noncommutative R^4 for general instanton number k. The deformed ADHM equation was solved with general k and the gauge connection and the curvature were given explicitly. We also checked our solutions and evaluated the instanton charge by a numerical calculation.

preprint2002arXivOpen access
Tomomi IshikawaShin-Ichiro KurokiAkifumi Sako
math-phmath.MPmath.AGhep-th
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Tomomi IshikawaShin-Ichiro KurokiAkifumi Sako

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